Question

On a coordinate plane, a line goes through points (negative 2, 0) and (0, 2). Study the graph of the line. Use the drop-down menu to find its equation. The equation of the line is .

Answer 1

y = x + 2

Explanation:

Answer 2

`y=x+2`

Explanation:

Finding Slope:

We are given the points (-2,0) and (0,2).

Slope is
`m=(y_2-y_1)/(x_2-x_1)`

`m=(2-0)/(0-(-2))=(2)/(2) = 1`

The slope is one.

Finding the Y-intercept:

So far we have
`y=x+b`.

We can use a point to find 'b', the y-intercept.

I will use (0,2):

`2=0+b\\2-0=0-0+b\leftarrow \text {Subtraction Property of Equality} \\\boxed {2=b}`

The y-intercept is 2.

Final Equation:

The equation of the line is
`y=x+2`.

In slope equations, the 'one' is commonly hidden.